Ring of BEC pools as a trap for persistent flow
- Instytut Fizyki Uniwersytetu Jagiellonskiego, ul. Reymonta 4, PL-30-059 Krakow (Poland)
- Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Mott insulator-superfluid transition in a periodic lattice of Josephson junctions can be driven by tunneling rate increase. The resulting winding numbers W of the condensate wave function decrease with increasing quench time in accord with the Kibble-Zurek mechanism (KZM). However, in very slow quenches, Bose-Hubbard dynamics rearranges the wave-function phase so that its random walk cools, W{sup 2} decreases and eventually the wave function becomes too cold to overcome potential barriers separating different W. Thus, in contrast with KZM, in very slow quenches W{sup 2} is set by random walk with ''critical'' step size, independently of {tau}{sub Q}. As our study requires use of the truncated Wigner approximation (TWA) over relatively long time intervals, we investigate the validity of TWA by comparing its predictions with exact calculations for suitably small quantum systems.
- OSTI ID:
- 21596886
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 84, Issue 9; Other Information: DOI: 10.1103/PhysRevB.84.094528; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
CONDENSATES
FORECASTING
GRAPH THEORY
JOSEPHSON JUNCTIONS
PERIODICITY
RANDOMNESS
RINGS
SUPERFLUIDITY
TRAPS
TUNNEL EFFECT
WAVE FUNCTIONS
CALCULATION METHODS
FUNCTIONS
MATHEMATICS
SUPERCONDUCTING JUNCTIONS
VARIATIONS